<p style='text-indent:20px;'>In this paper we are concerned with a viscoelastic wave equation with infinite memory and nonlinear frictional damping of variable-exponent type. First, we establish explicit and general decay results with a very general assumption on the relaxation function. Then, we remove the constraint imposed on the boundedness condition on the initial data used in the earlier results in the literature. Finally, we perform several numerical tests to illustrate our theoretical findings. This study generalizes and improves previous literature outcomes.</p>

中文翻译：

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具有变指数非线性的记忆型波动方程的理论和计算衰减结果

<p style='text-indent:20px;'>在本文中，我们关注的是具有无限记忆和变指数型非线性摩擦阻尼的粘弹性波动方程。首先，我们通过对松弛函数的非常一般的假设来建立显式和一般的衰减结果。然后，我们删除了对文献中早期结果中使用的初始数据的有界条件的约束。最后，我们进行了几个数值测试来说明我们的理论发现。本研究概括并改进了以往的文献成果。</p>